- It will take 3 seconds after its release will the bag strike the ground.
- -80 ft/sec velocity will it strike the ground.
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Every mathematical equation has the formula L.H.S = R.H.S.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
a) To find how many seconds after its release will the bag strike the ground
let us take when h(t) = 0
-16t² + 16t + 48 = 0
-t² + t + 3 = 0
(-t - 1)(t -3) = 0
t = 3 seconds
b) velocity will it strike the ground
vertical speed after release
= 16 - 32t
= 16 - 96
= -80 ft/sec (negative sign shows the down direction)
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Use a(t) = -32 ft/sec² as the acceleration due to gravity. (Neglect air resistance.)
A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 48 feet above the ground.
a) How many seconds after its release will the bag strike the ground?
b) At what velocity will it strike the ground?
